Answer:
linear: y = x + 1
non-linear: y = x² + 1
Step-by-step explanation:
In a linear relationship, from one pair (x1,y1) to other one (x2,y2) that satisfies the equation, there is a constant k, so that k = (y2 - y1)/(x2 - x1).
<u>Equation</u>: y = x + 1
Computing some points as an example:
<u>x | y </u>
0 | 1
1 | 2
2 | 3
3 | 4
(2-1)/(1-0) = (3-2)/(2-1) = (4-3)/(3-2) = 1. Therefore, the equation is linear.
<u />
<u>Equation</u>: y = x² + 1
Computing some points as an example:
<u>x | y </u>
0 | 1
1 | 2
2 | 5
3 | 10
(2-1)/(1-0) ≠ (5-2)/(2-1) ≠ (10-5)/(3-2). Therefore, the equation is not linear.
Answer:
The scale factor for the triangles (larger/smaller) = 6/2 = 3.
The area of the larger triangle equals the area of the smaller triangle times the square of the scale factor (32 = 9):
Area of Larger Triangle = Area of Smaller triangle * Scale Factor 2 = (3 cm2)*9 = 27 cm2.
The central angle measure of the sector is 4.19 rad.
<h3>Area of a Sector</h3>
You need apply the formula: for finding the area of the sector, in radians. In this formula, the variables are:
r= radius
= central angle
The question gives:
A=54 cm²
r= radius= 9cm
Thus, the central angle will be:
For =3.14159..., you have :
Read more about the area of a sector here:
brainly.com/question/22972014
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4x - 4y = 10
1. Factor out the common term 4
4(x - y) = 10
2. Divide both sides by 4
x - y = 10/4
3. Simplify 10/4 to 5/2
x - y = 5/2
4. Add y to both sides
x = 5/2 + y
3x + 2y = 5
1. Subtract 2y from both sides
3x = 5 - 2y
2. Divide both sides by 3
x = 5 - 2y/3
Answer:
w - 3.3 + -3.3 = 5.6 - 3.3
w = 2.3